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Finding the Fourth Proportional to 7,035.46, 9,706.43 and 4,200.86

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Solution

The fourth proportional to 7,035.46, 9,706.43 and 4,200.86 is: 5,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.46 : 9,706.43 = 4,200.86 : x
  2. Step 2: Convert to fraction form
    7,035.46/9,706.43 = 4,200.86/x
  3. Step 3: Cross multiply
    7,035.46x = 9,706.43 × 4,200.86
  4. Step 4: Simplify right side
    7,035.46x = 40,775,388.30
  5. Step 5: Solve for x
    x = 40,775,388.30/7,035.46
  6. Step 6: Final answer
    x = 5,795.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.